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GCF of 207/698, 300/579

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 207/698, 300/579 i.e 3/404142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/698, 300/579.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 207/698,300/579?

Given fractions are 207/698,300/579

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 207/698,300/579, numerators are 207,300

Denominators are 698,579

The GCF of 207,300 is 3 .

LCM of 698,579 is 404142.

The greatest common factor of 207/698,300/579 = [GCF of 207,300]/[LCM of 698,579]= 3/404142

Therefore, the GCF of 207/698,300/579 is 3/404142.

Greatest Common Factor of 207,300

To find the highest common factor of 207,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 207 are 1, 3, 9, 23, 69, 207

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 207,300 is 3.

Lets's calculate GCF of 207,300

Greatest Common Factor (GCF) of 207,300 By Common Division

3 207, 300
69, 100

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 207,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,300 By Matching Biggest Common Factor Method

Now, list down the factors of 207

:

1,3,9,23,69,207

Now, list down the factors of 300

:

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 207,300 . The biggest common factor number is the GCF number.
So the greatest common factor 207,300 is 3.

Lets's calculate LCM of 698,579

Lowest Common Multiple of 698,579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 404142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/404142

Therefore, the GCF of Fractions 207/698,300/579 is 3/404142

Least Common Multiple of 698,579 with GCF Formula

Least Common Multiple of 698,579 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 698,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,579) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(698,579) x common factors =1 x 1 = 1

LCM(698,579) = ( 698 × 579 ) / 1

LCM(698,579) = 404142 / 1

LCM(698,579) = 404142


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FAQs on GCF of Fractions of 207/698, 300/579

1. What is the HCF of 207,300?

The HCF of 207,300 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 207/698, 300/579?

Answer: GCF of Numerators as per given numbers 207/698, 300/579 is

GCF of Numerators i.e. for 207,300 is 3

LCM of denominators i.e. for 698,579 is 404142.

Thus, GCF of Fractions is 3/404142.Finally, GCF of Fractions for 207/698, 300/579 is 3/404142.